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Finding the Fourth Proportional to 296.07, 408.35 and 217.35

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Solution

The fourth proportional to 296.07, 408.35 and 217.35 is: 299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.07 : 408.35 = 217.35 : x
  2. Step 2: Convert to fraction form
    296.07/408.35 = 217.35/x
  3. Step 3: Cross multiply
    296.07x = 408.35 × 217.35
  4. Step 4: Simplify right side
    296.07x = 88,754.87
  5. Step 5: Solve for x
    x = 88,754.87/296.07
  6. Step 6: Final answer
    x = 299.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.